Information on Result #617663
Linear OA(2753, 730, F27, 27) (dual of [730, 677, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2775, 835, F27, 27) (dual of [835, 760, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2775, 754, F27, 27) (dual of [754, 679, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 3 | Linear OA(2766, 744, F27, 27) (dual of [744, 678, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(2758, 735, F27, 29) (dual of [735, 677, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(2754, 735, F27, 27) (dual of [735, 681, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(2764, 741, F27, 31) (dual of [741, 677, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2756, 741, F27, 27) (dual of [741, 685, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(2770, 747, F27, 33) (dual of [747, 677, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2758, 747, F27, 27) (dual of [747, 689, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(2776, 753, F27, 35) (dual of [753, 677, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(2760, 753, F27, 27) (dual of [753, 693, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(2782, 758, F27, 37) (dual of [758, 676, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(2783, 760, F27, 37) (dual of [760, 677, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(2781, 758, F27, 36) (dual of [758, 677, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(2762, 758, F27, 27) (dual of [758, 696, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(2763, 760, F27, 27) (dual of [760, 697, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(2761, 758, F27, 26) (dual of [758, 697, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(2789, 766, F27, 39) (dual of [766, 677, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(2765, 766, F27, 27) (dual of [766, 701, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(2796, 773, F27, 41) (dual of [773, 677, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(2794, 768, F27, 40) (dual of [768, 674, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(27102, 778, F27, 43) (dual of [778, 676, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(27103, 780, F27, 43) (dual of [780, 677, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(27101, 778, F27, 42) (dual of [778, 677, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(27110, 787, F27, 45) (dual of [787, 677, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(27108, 782, F27, 44) (dual of [782, 674, 45]-code) | [i] | ✔ | |